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kow [346]
3 years ago
8

How do I solve this ?

Mathematics
1 answer:
eduard3 years ago
6 0

Look at the picture.

ΔZYX and ΔDYC are similar. Therefore the lengths of sides are in proportion:

\dfrac{DC}{ZX}=\dfrac{DY}{ZY}

DC = x

ZX = 16

DY = a

ZY = a + a = 2a

Substitute:

\dfrac{x}{16}=\dfrac{a}{2a}

\dfrac{x}{16}=\dfrac{1}{2}       <em>multiply both sides by 16</em>

\boxed{x=8}

<h3>Answer: CD = 8</h3>

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